Table of Contents
16 squared, (16)2, is the number you get when multiplying 16 times 16.
It can also be looked at as exponentiation involving the base 16 and the exponent 2.
The term is usually pronounced sixteen times sixteen or sixteen squared.
The square of 16 is a perfect square because the number is the product of the two equal integers 16.
It can be written as 16 × 16 or in exponential form.
Read on to learn everything about the number sixteen squared, including useful identities.
Calculator
16 × 16 = 256
The inverse operation of squaring sixteen is extracting the square root of 16, explained here.
In the next section we elaborate on what is 16 squared and there you can also find our calculator.
What is 16 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 16 has an area of 256.
16 squared equals the sum of the first 16 odd numbers:
In addition, the number can be calculated from 15 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(16)2 = 152 + 15 + 16 = 152 + 31 = 256
It can be also be computed from 15 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(16)2 = 2 x 152 – 142 + 2 = 2 x 225 – 196 + 2 = 256
The difference between the perfect square of 16 and its predecessor, 15, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 16 – 1 = 31 = (16)2 – 152 = 256 – 225 = 31
16 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 16 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 16, you can use our calculator above.
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A square similar to 16 is, for example: square of 18.
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The following table contains the squares of numbers close to 16.
Table
| Number | Square |
|---|---|
| 11 | 121 |
| 12 | 144 |
| 13 | 169 |
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
| 18 | 324 |
| 19 | 361 |
| 20 | 400 |
| 21 | 441 |
Sixteen Squared
By reading so far you know all about squaring the number 16 and calculating it using recursive methods, or as sum, product or by exponentiation.
16 squared is equivalent to 256.
If you were searching for what is 16 squared in math or if you typed whats 16 squared in the search engine you now have all the answers, too.
The same goes for searches like square16, and 16 to the 2nd power, just to name a few more examples people are often looking for.
Note that you can also find many perfect squares including 16 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
16 squared = 16 × 16 = (16)2 = 256.
The exponentiation form is mostly used to denote sixteen squared.
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